131404000 has 288 divisors, whose sum is σ = 419380416. Its totient is φ = 39398400.

The previous prime is 131403977. The next prime is 131404069. The reversal of 131404000 is 404131.

It is a super-2 number, since 2×131404000² = 34534022432000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6915991 + ... + 6916009.

It is an arithmetic number, because the mean of its divisors is an integer number (1456182).

Almost surely, 2^131404000 is an apocalyptic number.

131404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

131404000 is an abundant number, since it is smaller than the sum of its proper divisors (287976416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131404000 is a wasteful number, since it uses less digits than its factorization.

131404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 131404000 is about 11463.1583780388. The cubic root of 131404000 is about 508.3968626743.

Adding to 131404000 its reverse (404131), we get a palindrome (131808131).

The spelling of 131404000 in words is "one hundred thirty-one million, four hundred four thousand".